- For an H atom, the energy of an electron in level n is represented as:

- An electron jumping from higher energy level
*f*to lower energy level*i,*the energy released by atom will appear as:

- Use the equation of E
_{n}to find the ΔE.

Before quantum mechanics was developed, Johannes Rydberg developed
an equation that predicted the wavelengths (λ)
in the atomic spectrum of hydrogen: 1/λ = R(1/m^{2} - 1/n^{2}). In this equation R is a constant and m and n are integers. Use the quantum-mechanical model for the hydrogen atom to derive the Rydberg equation.

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